SSC CGL Tier-I 06 March 2020 Shift-III Previous Year Paper

SSC CGL 6th March 2020 Shift-3 

Q. 1 Select the letter will replace the question mark (?) in the following series. 

K, Q, V, ?, C, E, F 

(A) Y 

(B) A 

(C) X 

(D) Z 

Answer: (D) 

Explanation: 

The series follows pattern as, 

K + 6 = Q 

Q + 5 = V 

V + 4 = Z 

Z + 3 = (C) 

(C) + 2 = E 

E + 1 = F 

∴ The correct answer is option D. 

 

Q. 2 Select the letter-cluster that can replace the question mark (?) in the following series. 

DYKM,GZIN, JAGO, MBEP, ? 

(A) QCCQ 

(B) PDDQ 

(C) PCCQ 

(D) PCDR 

Answer: (C) 

Explanation: 

((D) + 3)(Y + 1)(K – 2)(M + 1) = GZIN 

(G + 3)(Z + 1)(I – 2)(N + 1) = JAGO 

(J + 3)((A) + 1)(G – 2)(O + 1) = MBEP 

(M + 3)((B) + 1)(E – 2)(P + 1) = PCCQ 

∴ The correct answer is option (C) 

 

Q. 3 Which of the following Venn diagrams best represents the relationship between the following classes? Spices, Cumin Seeds, Food 

Answer: (D) 

 

Q. 4 Arrange the following words in a logical and meaningful order. 

1. Class 

2. Admission 

3. Result 

4, Examination 

5. Marking 

(A) 2,1,5,3,4 

(B) 2,1,4,5,3 

(C) 5,3,4,1,2 

(D) 3,4,2,1,5 

Answer: (B) 

Explanation: 

First of all a student takes admission then he takes class after then he give exam then marking and in the final he gets result. 

Meaningful order of the words, 

Admission, Class, Examination, Marking, Result 

∴ The correct answer is option B. 

 

Q. 5 ‘Size’ is related to ‘Medium’in the same way as ‘Shape’ is related to ‘ ……. 

(A) Object 

(B) Color 

(C) Oval 

(D) Corner 

Answer: (C) 

Explanation: 

‘Size’ is related to ‘Medium’in the same way as ‘Shape’ is related to ‘Oval’. 

∴ The correct answer is option C. 

 

Q. 6 Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow from the statements. Statements: 

1. All helmets are objects. 

2. Some helmets are vehicles. 

Conclusions: 

I. Some objects are helmets. 

II. Some vehicles are helmets. 

III. Some vehicles are objects. 

(A) Only conclusions I and III follow. 

(B) Only conclusions II and ITI follow. 

(C) Only conclusions I and II follow. 

(D) All conclusions I, II and ITI follow. 

Answer: (D) 

Explanation: 

 

From the Venn diagram, 

All conclusions I, II and III follow. 

∴ The correct answer is option D. 

 

Q. 7 Select the numberthat can replace the question mark (?) in the followingseries. 

58, 73, 99, 138, 193, ? , 368 

(A) 260 

(B) 268 

(C) 312 

(D) 329 

Answer: (B) 

Explanation: 

The series follows pattern as, 

58 + 15 = 73 

73 + (15 + 11 = 26) = 99 

99 + (26 + 13 = 39) = 138 

138 + (39 + 16 = 55) = 193 

193 + (55 + 20 = 75) = 268 

268 + (75 + 25 = 100) = 368 

∴ The correct answer is option B. 

Q. 8 Select the figure that can replace the question mark (?) in the following series. 

Answer: (D) 

 

Q. 9 Select the correct mirror image of the given figure when a mirror is placed on the right side of the figure.

Answer: (D) 

 

Q. 10 Four number-pairs have been given, out of which three are alike in some manner and one is different. Select the number-pair that is different from the rest. 

(A) 41263 : 18 

(B) 85245 : 24 

(C) 77052 : 21 

(D) 26584 : 25 

Answer: (A) 

Explanation: 

4 + 1 + 2 + 6 + 3 = 16 

8 + 5 + 2 + 4 + 5 = 24 

7 + 7 + 0 + 5 + 2 = 21 

2 + 6 + 5 + 8 + 4 = 25 

∴ The correct answer is option A. 

Q. 11 Four words have been given, out of which three are a like in some manner and one is different. Select the odd word 

(A) Computer 

(B) Television 

(C) Geyser 

(D) Machine 

Answer: (D) 

Explanation: 

Computer, television and geyser are machine so, 

Option (D) is odd. 

∴ The correct answer is option D. 

Q. 12 Select the option in which the given figure X is embedded(rotation is not allowed). 

Answer: (C) 

Q. 13 Two different positions of the same dice are shown, the six faces of which are numbered from 1 to 6. Select the number that will be on the face opposite to the one having ‘5’. 

(A) 3 

(B) 6 

(C) 4 

(D) 2 

Answer: (C) 

Q. 14 The sequence of folding a piece of paper and the manner in which the folded paper has been cut is shown in the following figures. How would this paper look when unfolded? 

Answer: (C) 

Q. 15 Which two numbers should be interchanged to make the given equation correct? 

28 + 49 − 35 ÷ 7 × 4 = 68 

(A) 28 and 35 

(B) 28 and 49 

(C) 49 and 35 

(D) 4 and 28 

Answer: (A) 

Explanation: 

28 + 49 − 35 ÷ 7 × 4 = 68 

From option A, 

On interchanging, 

35 + 49 − 28 ÷ 7 × 4 = 68 

35 + 49 − 16 = 68 

68 = 68 

∴ The correct answer is option A. 

Q. 16 Select the option that is related to the third number in the same way as the second number is related to the first number. 8:576::4:? 

(A) 70 

(B) 120 

(C) 80 

(D) 90 

Answer: (C) 

Explanation: 

(8)² × (8 + 1) = 64 × 9 = 576 

(4)² × (4 + 1) = 16 × 5 = 80 

The correct answer is option C. 

Q. 17 Ina certain code language, ‘NECTAR’ is written as ‘DFOSBU’. How will ‘CARPET’ be written as in that language? 

(A) SBDUFQ 

(B) DBSQGR 

(C) SBDVFR 

(D) BDSSUG 

Answer: (A) 

Q. 18 How many triangles are there in the given figure? 

(A) 23 

(B) 20 

(C) 22 

(D) 24 

Answer: (C) 

Q. 19 Select the option in which the words share the same relationship as that shared by the given pair of words. 

Ear : Tinnitus 

(A) Eye : Ophthalmologist 

(B) Nose : Nerve 

(C) Skin : Acne 

(D) Joints : Muscles 

Answer: (C) 

Explanation: 

Tinnitus is affected the Ear. 

Similarly, 

Acne is affected the skin. 

∴ The correct answer is option C. 

Q. 20 Fourletter-clusters have been given, out of which three are alike in some manner and oneis different. Select the odd letter-cluster. 

(A) KPT 

(B) BYD

(C) CXE 

(D) UFW 

Answer: (A) 

Explanation: 

Only option (A) has the difference of 4 in the letters. 

So, ‘KPT’ is odd letter-cluster. 

∴ The correct answer is option A. 

Q. 21 Among 160 players in a tournament, 57 did not participate in any of the three games,i.e. Cricket, Hockey and Badminton. A total of 37 players participated in only one game,10 players participated in both Cricket and Hockey but not in Badminton, 9 players participated in both Hockey and Badminton but not in Cricket, and 13 players participated in both Cricket and Badminton but not in Hockey. How many students participated in all the three games 

(A) 30 

(B) 32 

(C) 38 

(D) 34 

Answer: (D) 

Explanation: 

Total students participate = 160 – 57 = 103 

Participant in 1 game = 37 

Players participated in both Cricket and Hockey but not in Badminton = 10 

Players participated in both Hockey and Badminton but not in Cricket = 9 

Players participated in both Cricket and Badminton but not in Hockey = 13 

Students participated in all the three games = 103 – 37 – 100 – 9 – 13 = 34 

∴ The correct answer is option D. 

Q. 22 Ina certain code language, ‘BLINK’is coded as ’78’ and ‘”PURSE’is coded as ’54’. How will ‘FIRST’be coded asin that language? 

(A) 63 

(B) 71 

(C) 64 

(D) 76 

Answer: (A) 

Explanation: 

B L I N K = (27 – 2) + (27 – 12) +(27 – 9) + (27 – 14) + (27 – 11) = 25 + 15 + 18 + 13 + 16 = 87 

P U R S E = (27 – 16) + (27 – 21) +(27 – 18) + (27 – 19) + (27 – 5) = 11 + 6 + 9 + 8 + 22 = 56 

Similarly, 

F I R S T = (27 – 6) + (27 – 9) +(27 – 18) + (27 – 19) + (27 – 20 )= 21 + 18 + 9 + 8 + 7 = 63

∴ The correct answer is option A. 

Q. 23 Study the given pattern carefully and select the number that can replace the question mark (?) in it.

(A) 150 

(B) 145 

(C) 180 

(D) 140 

Answer: (A) 

Q. 24 Select the option in which the numbersare related in the same way as are the numbersin the givenset. (14, 18, 277) 

(A) (20,22, 521) 

(B) (12, 32, 320) 

(C) (18, 16, 485) 

(D) (24, 20, 576) 

Answer: (A) 

Q. 25 A + B means ‘A’ is the husband of B’; 

A − B means ‘A’ is the wife of B’; 

A × B means ‘A’ is the mother of B’: 

A ÷ B)means ‘A’ is the son of B’. 

If, W × R × J − S ÷ V + L . then which of the following statements is NOT correct? 

(A) Wis the maternal grandmother of J. 

(B) L is the wife ofV. 

(C) V is the father-in-law ofJ. 

(D) L is the mother-in-law ofS. 

Answer: (D) 

General Awareness 

Instructions 

For the following questions answer them individually 

Q. 26 In which of the following states did Khadi and Village Industries Commission (KVIC) open its first Silk Processing Plant? 

(A) Gujarat 

(B) Madhya Pradesh 

(C) Goa 

(D) Haryana 

Answer: (A) 

Q. 27 Who is the author of the book ‘Dreams From My Father’? 

(A) Barack Obama 

(B) Charles Darwin 

(C) Olivia Laing 

(D) Navin Chawla 

Answer: (A) 

Q. 28 Who among the following is the head of the standing committee on economic statistics set up by Ministry of Statistics and Programme Implementation (MOSPI)? 

(A) Krishnamurthy Subramanian 

(B) Manmohan Singh 

(C) Raghuram Rajan 

(D) Pronab Sen 

Answer: (D) 

Q. 29 In which year was the Hindustan Socialist Republican Association (HSRA) founded? 

(A) 1928 

(B) 1929 

(C) 1930 

(D) 1926 

Answer: (A) 

Q. 30 In which of the following Indian airports will the Wings India 2020, international exhibition and conference on the civil aviation sector, be held? 

(A) Chennai International Airport 

(B) Chaudhary Charan Singh Airport 

(C) Begumpet Airport 

(D) Bagdogra Airport 

Answer: (C) 

Q. 31 Which of the following is used to remove the green colour from glass? 

(A) Manganese dioxide 

(B) Sulphur dioxide 

(C) Titanium dioxide 

(D) Silicon dioxide 

Answer: (A) 

Q. 32 In which of the following years were two additional Commissioners appointed to the Election commission of India for the first time? 

(A) 1998 

(B) 1990 

(C) 1989 

(D) 1991 

Answer: (C) 

Q. 33 Who among the following was NOT a minister of Cabinet Mission Plan, 1946? 

(A) Lord Wavell 

(B) Sir Stafford Cripps 

(C) Alexander 

(D) Sir Pethick Lawrence 

Answer: (A) 

Q. 34 Which player of the Indian Women’s Hockey team has been nominated for the ‘World Games Athlete of the Year’ Award, 2019 by the International Hockey Federation (FIH)? 

(A) Rajani Etimarpu 

(B) Bichu Devi Kharibam 

(C) Rani Rampal 

(D) Reena Khokhar 

Answer: (C) 

Q. 35 Which of the following has the lowest melting point? 

(A) Zinc 

(B) Silver 

(C) Lead 

(D) Tin 

Answer: (D) 

Q. 36 Who was the Governor General of Bengal during the 3rd Anglo-Mysore war? 

(A) Warren Hastings 

(B) John Macpherson 

(C) 2nd Earl Cornwallis 

(D) John Shore 

Answer: (C) 

Q. 37 Which of the following players of the Indian cricket team laid the foundation of the Cricket Stadium and Training Centre at ‘Heartfulness Institute’s’ headquarters 

in Hyderabad? 

(A) Sikhar Dhawan 

(B) Virat Kohli 

(C) Yuvraj Singh 

(D) Rohit Sharma 

Answer: (D) 

Q. 38 Which of the following Articles is related to the Ancillary powers of Supreme Court? 

(A) Article 138 

(B) Article 150 

(C) Article 140 

(D) Article 143 

Answer: (C) 

Q. 39 What was National Highway 66 (NH 66) previously known as? 

(A) NH8 

(B) NH2 

(C) NH5 

(D) NH 17 

Answer: (D) 

Q. 40 Who among the following first translated the Bhagvad Gita in to English? 

(A) James Prinsep 

(B) Charles Wilkins 

(C) Sir Alexander Cunningham 

(D) William Jones 

Answer: (B) 

Q. 41 Which of the following countries had the highest number of new born babies on first day of 2020? 

(A) US(A) 

(B) Pakistan 

(C) India 

(D) China 

Answer: (C) 

Q. 42 In which of the following Indian states is the Lai Haraoba festival celebrated? 

(A) Kerala 

(B) Karnataka 

(C) Goa 

(D) Manipur 

Answer: (D) 

Q. 43 Which of the following railway stations has been certified by FSSAI as the country’s first ‘Eat Right Station’? 

(A) Jabalpur 

(B) Allahabad 

(C) Mumbai Central 

(D) Jaipur 

Answer: (C) 

Q. 44 Who among the following scientists invented Kevlar? 

(A) Steve Wozniak 

(B) Marry Anderson 

(C) Stephanie Louise Kwolek 

(D) George Eastman 

Answer: (C) 

Q. 45 According to India State of Forest Report 2019, how much of the total geographical area of the country is covered by forests and trees? 

(A) 21.30% 

(B) 42.56% 

(C) 24.56% 

(D) 34.56% 

Answer: (C) 

Q. 46 How many types of isotopes does Scandium have? 

(A) 9 

(B) 7 

(C) 10 

(D) 13 

Answer: (D) 

Q. 47 In which of the following temples is the Ambubasi Fair celebrated every year? 

(A) Jagnanath temple 

(B) Kamakhya temple 

(C) Kashi Vishwanath temple 

(D) Kedarnath temple 

Answer: (B) 

Q. 48 Which of the following Indian movies was nominated for the 92nd Oscar Awards? 

(A) The Surgical Strike 

(B) Mission Manga 

(C) Gully Boy 

(D) War 

Answer: (C) 

Q. 49 Which of the following states topped among all the states with the highest number of fire alerts according to a 2019 report by the Forest Survey of India? 

(A) Arunachal Pradesh 

(B) Madhya Pradesh 

(C) Odisha 

(D) Mizoram 

Answer: (D) 

Q. 50 What is the atomic mass of Zirconium? 

(A) 91.22 

(B) 89.22 

(C) 88.22 

(D) 90.22 

Answer: (A) 

Quantitative Aptitude 

Instructions 

For the following questions answer them individually 

Q. 51 If x² − 4x + 4 = 0 , then the value of 16(x⁴ − 1/x )⁴  is 

(A) 127 

(B) 255 

(C) 127/16

(D) 255/16

Answer: (B) 

Q. 52 The following Table gives the details of Five commodities A, B, C, D and E with quantity required and their costs for a family in a month. Study the Table and answer the questions that follow. 

(A) ₹5,400 

(B) ₹6,856 

(C) ₹8,122 

(D) ₹7,248 

Answer: (B) 

Q. 53 An article was sold at a gain of 16%. If it had been sold for 36 more, the gain would have been 20%. The cost price of the article is 

(A) ₹862 

(B) ₹900 

(C) ₹810 

(D) ₹720 

Answer: (B) 

Q. 54 In △ ABC,if the ratio of angles is in the proportion 3 : 5 : 4, then the difference between the biggest and the smallest angles (in degrees)is: 

(A) 20^∘ 

(B) 25^∘ 

(C) 30^∘ 

(D) 35^∘ 

Answer: (C) 

Q. 55 A, B and C are three points on a circle such that the angles subtended by the chords AB and AC at the centre O are 80^∘ and 120^∘ , ∠BAC

respectively. The value of is: 

(A) 70^∘ 

(B) 85^∘ 

(C) 75^∘ 

(D) 80^∘ 

Answer: (D) 

Explanation: 

In the $$\triangle OAB, 

O(B) = OA(radius) so, 

∠OBA = ∠BAO 

∠OBA + ∠BAO + ∠AOB = 180° 

∠BAO + ∠BAO + 80° = 180° 

2∠BAO = 180 − 80 = 100° 

∠BAO = 50° 

In the $$\triangle OAC, 

OC = OA(radius) so, 

∠OAC = ∠OCA 

∠OAC + ∠OCA + ∠AOC = 180° 

$\angle OAC+\mathrm{\backslash angleOAC}+120\mathrm{\backslash degree}=180\mathrm{\backslash degree}$ 

$2\angle OAC=180–120=60\mathrm{\backslash degree}$ 

$\angle OAC=30\mathrm{\backslash degree}$ 

$\angle BAC=\angle BAO+\angle OAC$ 

$\angle BAC=50+30=80\mathrm{\backslash degree}$ 

Q. 56 if $0<A,B<45°,\cos (A+B)=\frac{24}{25}$ and $\sin (A–B)=\frac{15}{17}$, then $\tan 2A$ is 

(A) 1 

(B) 0 

(C) $\frac{416}{87}$ 

(D) $\frac{213}{4}$ 

Answer: (C) 

Explanation: 

$\tan 2A$ 

= tan(A + B) + (A – B) 

=$\frac{tan(A+B)+tan(A+B)}{1–tan(A+B)tan(A+B)}$ —(1) 

$(\because tan(a+b)=\frac{tana+tanb}{1–tana.tanb})$ 

tan(A + B) = $\frac{sin\left(\right(A)+B)}{cos\left(\right(A)–B)}$ 

tan(A + B) = $\frac{\sqrt{1–co{s}^2\left(\right(A)+B)}}{cos\left(\right(A)+B)}$ 

tan(A + B) = $\frac{\sqrt{1–(24/25{)}^2}}{(24/25)}$ 

tan(A + B) = $\frac{\sqrt{49/25}}{(24/25)}$ = 7/24 

tan(A – B) = $\frac{sin(A–B)}{cos(A–B)}$ 

tan(A – B)= $\frac{sin(A–B)}{\sqrt{1–si{n}^2(A–B)}}$ 

tan(A – B) = $\frac{15/17}{\sqrt{1–(15/17{)}^2}}$ 

tan(A – B) = $\frac{15/17}{\sqrt{64/17{)}^2}}$ = 15/8 

From eq(1), 

=$\frac{\frac{7}{24}+\frac{15}{8}}{1–\frac{7}{24}.\frac{15}{8}}$ 

=$\frac{416}{87}$ 

Q. 57 The value of $4\left[\frac{(1–\sec A{)}^2+(1+\sec A{)}^2}{1+{\sec }^{2}A}\right]$ is : 

(A) 4 

(B) 1 

(C) 2 

(D) 8 

Answer: (D) 

Explanation: 

$4\left[\frac{(1 – \sec A)^{2} + (1 + \sec A)^{2}}{1 + \sec^{2}A}\right]$ 

= $4\left[\frac{1+{\sec }^2\left(A\right)–2\sec \left(A\right)+1+{\sec }^2\left(A\right)+2\sec A}{1+{\sec }^{2}A}\right]$ = $4\left[\frac{2(1+{\sec }^{2}A)}{1+{\sec }^{2}A}\right]$ = 8 

Q. 58 If $a^3+\frac{1}{a^3}=52$ then the value of $2\left(a+\frac{1}{a}\right)$ is : 

(A) 8 

(B) 2 

(C) 6 

(D) 4 

Answer: (A) 

Explanation: 

$a^{3}+\frac{1}{a^{3}} = 52$ 

$(a+\frac{1}{a}{)}^3–3.a.\frac{1}{a}(a+\frac{1}{a})=52$ 

$(\because a^3+b^3=(a+b{)}^3–3ab(a+b))$ 

$(a+\frac{1}{a}{)}^3–3(a+\frac{1}{a})=52$ 

From the option A) – 

Put the value of $2(a+\frac{1}{a})=8$, 

$(a+\frac{1}{a})=4$ 

L.H.S., 

$4^3–3\times 4$ = 52 

= R.H.S. 

$\therefore$ The value of $2\left(a + \frac{1}{a}\right)$ is 8. 

Q. 59 If $b+c=ax,c+a=by,a+b=cz$, then the value $\frac{1}{9}\left[\frac{1}{x+1}+\frac{1}{y+1}+\frac{1}{z+1}\right]$ is: 

(A) $\frac{1}{9}$ 

(B) 1 

(C) 0 

(D) $\frac{1}{3}$ 

Answer: (A) 

Explanation: 

$b + c = ax, c + a = by, a + b = cz$ 

x =$\frac{b+c}{a}$ 

y =$\frac{c+a}{b}$ 

z =$\frac{a+b}{c}$ 

Now, 

$\frac{1}{9}\left[\frac{1}{x+1}+\frac{1}{y+1}+\frac{1}{z+1}\right]$ 

x + 1 = $\frac{b + c}{a}$ + 1 = $\frac{a+b+c}{a}$ 

y + 1 = $\frac{c + a}{b}$ + 1 = $\frac{a+b+c}{b}$ 

z + 1 = $\frac{a + b}{c}$ + 1 = $\frac{a+b+c}{c}$ 

= $\frac{1}{9}\left[\frac{1}{\frac{a+b+c}{a}}+\frac{1}{\frac{a+b+c}{b}}+\frac{1}{\frac{a+b+c}{c}}\right]$ $\frac{1}{9}\left[\frac{a}{a+b+c}+\frac{b}{a+b+c}+\frac{c}{a+b+c}\right]$ 

$\frac{1}{9}\left[\frac{a+b+c}{a+b+c}\right]$ = 1/9 

Q. 60 The following table gives the details of Five commodities A, B, C, D and E with quantity required and their costs for a family in a month. Study the table and answer the questions that follow. 

The percentage of increase(per kg) in the rate of commodity (D) from 2016 to 2019 is: 

(A) 5% 

(B) 22.17% 

(C) 13.33% 

(D) 38.24% 

Answer: (C) 

Explanation: 

Rate of commodity (D) in 2016 = 75 

Rate of commodity (D) in 2019 = 85 

The percentage of increase(per kg) in the rate of commodity (D) from 2016 to 2019 = $\frac{85–75}{75}\times 100=\frac{10}{75}\times 100=13.33\%$ 

Q. 61 In a triangle ABC, DE is parallel to BC; AD = a, DB = a + 4, AE = 2a + 3, EC = 7a. What is the value of ‘a’ if a>0 ? 

(A) 5 

(B) 6 

(C) 3 

(D) 4 

Answer: (C) 

Explanation: 

$$\triangle ADE and \triangle AB(C) are similar triangle. 

($$\because all \angle (A) is common and \angle (B) = \angle (D) & \angle (C) = \angle E$$) 

By the properties, 

$\frac{AB}{AD}=\frac{AC}{AE}$ 

$\frac{AB}{a}=\frac{AC}{2a+3}$ 

$\frac{A\left(D\right)+DB}{a}=\frac{AE+EC}{2a+3}$ 

$\frac{a+a+4}{a}=\frac{2a+3+7a}{2a+3}$ 

$\frac{2a+4}{a}=\frac{9a+3}{2a+3}$ 

{2a + 4}{2a + 3} = {a}{9a + 3} 

$4a^2+14a+12=9a^2+3a$ 

$5a^2–11a–12=0$ 

$5a^2–15a+4a–12=0$ 

$5a(a–3)+4(a–3)=0$ 

(5a + 4)(a – 3) = 0 

a = -4/5 and a = 3 

$\because$ a>0 so, a = 3 

Q. 62 The following table gives the details of Five commodities A, B, C, D and E with quantity required and their costs for a family in a month. Study the table and answer the questions that follow. 

The amount spent extra on commodities B and C in the year 2019 as compared to that in the year 2016,is: 

(A) ₹260 

(B) ₹248 

(C) ₹110 

(D) ₹192 

Answer: (A) 

Explanation: 

The amount spent on commodities B in the year 2016 = quantity $\times$ rate = 20 $\times$ 50 = Rs.1000 The amount spent on commodities C in the year 2016 = 12 $\times$ 35 = Rs.420 

The amount spent on commodities B and C in the year 2016 = 1000 + 420 = Rs.1420 

The amount spent on commodities B in the year 2019 = 20 $\times$ 60 = Rs.1200 

The amount spent on commodities C in the year 2019 = 12 $\times$ 40 = Rs.480 

The amount spent on commodities B and C in the year 2019 = 1200 + 480 = Rs.1680 

The amount spent extra on commodities B and C in the year 2019 as compared to that in the year 2016 = 1680 – 1420 = Rs.260 

Q. 63 A, B and C can individually complete a task in 20 days, 16 days and 30 days, respectively. If A and B started working on the task, and they worked for 4 days and left, then the number of days required by C to finish the remaining task is: 

(A) $16\frac{1}{2}$ days 

(B) 13 days 

(C) 10 days 

(D) $12\frac{1}{2}$ days 

Answer: (A) 

Explanation: 

Let the total work be 240 units. 

(LCM of 20, 16 and 30 is 240.) 

Efficiency of A = total work/time taken to complete work = 240/20 = 12 

Efficiency of B = 240/16 = 15 

Efficiency of C = 240/30 = 8 

Work done by A and B in 4 days = 4 $\times (12+15)=4\times$ 27 = 108 units 

Remaining work = 240 -108 = 132 units 

Time taken by C to complete remaining work = 132/8 = 16 $\frac{4}{8}$ = 16 $\frac{1}{2}$ 

Q. 64 A train crosses a platform 180 m long in 60 sec at a speed of 72 km/h. The time taken by the train to cross an electric pole is: 

(A) 51 sec 

(B) 0.51 min 

(C) 5.1 sec 

(D) 5.1 min 

Answer: (A) 

Explanation: 

Length of platform = 180 m 

Time = 60 sec 

Speed = 72 km/hr = 72$\times$ 5/18 = 20 m/sec 

Total length = length of platform + length of train = 180 + length of train 

Speed = length/time 

180 + length of train = 20 $\times$ 60 

Length of train =1200 – 180 = 1020 m 

The time taken by the train to cross an electric pole = 1020/20 = 51 sec 

Q. 65 The rate of simple interest on a sum of money is 5% p.a. for the first 4 years, 8% p.a. for the next 3 years and 10% p.a. for the period beyond 7 years. If the simple interest accrued by the sum over a period of 10 years is ₹1,850, then the sum is: 

(A) ₹2,750 

(B) ₹1,650 

(C) ₹2,500 

(D) ₹1,500 

Answer: (C) 

Explanation: 

Simple interest = $\frac{prt}{100}$ 

p = principal 

r = rate of interest 

t = time 

Simple interest for 10 years = 1,850 

Simple interest for 4 years at 5% + Simple interest for 3 years at 8% + Simple interest for 3 years at 10% = 1850 $\frac{p\times 5\times 4}{100}+\frac{p\times 8\times 3}{100}+\frac{p\times 10\times 3}{100}$ = 1850 

$p(20+24+30)=185000$ 

p = 185000/74 = 2500 

$\therefore$ The sum is Rs.2500. 

Q. 66 The value of $\frac{[54–(5÷2)\times 8]+13}{48–4÷3\times 8–2}$ 

(A) $\frac{89}{106}$ 

(B) $\frac{141}{127}$ 

(C) $\frac{141}{106}$ 

(D) $\frac{89}{127}$ 

Answer: (C) 

Explanation: 

$\frac{[54-(5 \div 2)\times 8]+13}{48-4 \div 3 \times 8-2}$ 

= $\frac{[54–(2.5)\times 8]+13}{48–4\times \frac{1}{3}\times 8–2}$ 

= $\frac{[54–20]+13}{48–\frac{32}{3}–2}$ 

= $\frac{47}{\frac{106}{3}}$ 

= $\frac{141}{106}$ 

Q. 67 The average of 60 student’s results is 38. If the average of the first 22 students is 36, and that of the last 32 students is 32, then the average result of the remaining students is: 

(A) 81 

(B) 77 

(C) 65 

(D) 52 

Answer: (B) 

Explanation: 

Total sum of result of 60 students = average $\times numberofstudents=38\times 60=2280$ 

Sum of result of first 22 students = $36\times 22$ = 792 

Sum of result of last 32 students = $32\times 32$ = 1024 

Sum of result of remaining students = 2280 – 792 – 1024 = 462 

Number of remaining students = 60 – 22 – 32 = 6 

Average result of the remaining students = 462/6 = 77 

Q. 68 The inner and outer radius of a circular track are 23 m and 29 m respectively. The cost of leveling the track at ₹ 7/m$$^{2}$$ is : 

(A) ₹7,215 

(B) ₹3,284 

(C) ₹6,864 

(D) ₹5,300 

Answer: (C) 

Explanation: 

Radius of outer circle = 29 m 

Radius of inner circle = 23 m 

Area of the circle = $\pi r^2$ 

Area of the track = area of the outer circle – area of the inner circle 

= $\pi (29{)}^2–\pi (23{)}^2$ = $\pi \left(\right(29{)}^2–\left(23{)}^2\right)$ 

= $\pi (841–529)=\frac{22}{7}\times 312=980.57m^2$ 

Cost = 7/m$$^{2}$$ 

Total cost of leveling track = $980.57\times 7$ = Rs. 6864 

Q. 69 What is the smallest integer that is divisible by 3, 7 and 18? 

(A) 63 

(B) 252 

(C) 72 

(D) 126 

Answer: (D) 

Explanation: 

LCM of of 3, 7 and 18 = 126 

$\therefore$ 126 is the smallest integer that is divisible by 3, 7 and 18. 

Q. 70 A shopkeeper fixes the price of an article in such a way that after allowing 32% discount, he wants again of 14%. If the marked price is ₹342, then the cost price of the article is: 

(A) ₹212 

(B) ₹204 

(C) ₹218 

(D) ₹196 

Answer: (B) 

Explanation: 

Marked price = 342 

Selling price = 342 $\times \frac{100–32}{100}=342$\times \frac{68}{100} = 232.56 

Let the cost price of an article be 100%. 

Selling price = 100% + 14% = 114% 

114% = 232.56 

100% = $$\frac{232.56}{114} \times 100 = Rs. 204 

Cost price of an article = Rs. 204 

Q. 71 25 litres of a mixture contains 30%of spirit and rest water. If 5 litres of water be mixed in it, the percentage of spirit in the new mixture is : 

(A) $45\%$ 

(B) $33\frac{1}{3}\%$ 

(C) $25\%$ 

(D) $12\frac{1}{2}\%$ 

Answer: (C) 

Explanation: 

Quantity of spirit = $25\times \frac{30}{100}=7.5$ 

Quantity of water = 25 – 7.5 = 17.5 

After mixed up quantity of mixture = 25 + 5 = 30 

Percentage of spirit = $\frac{7.5}{30}\times 100$ = 25% 

Q. 72 Two circles of radii 8 cm and 6 cm touch each other externally. The length of the direct common tangent is: 

(A) 13.86 

(B) 20 

(C) 10.12 

(D) 24 

Answer: (A) 

Explanation: 

The length of the direct common tangent = 2$\sqrt{r1.r2}$ 

r1 = 8 cm 

r2 = 6 cm 

The length of the direct common tangent = 2$\sqrt{8\times 6}$ 

= 2$\sqrt{48}=2\times 6.93=13.86cm$ 

Q. 73 The following table gives the details of Five commodities A, B, C, D and E with quantity required and their costs for a family in a month. Study the table and answer the questions that follow. 

The ratio of the total amount spent on A and D commodities in the year 2019 is: 

(A) 1:1 

(B) 6:17 

(C) 15:17 

(D) 3:8 

Answer: (B) 

Explanation: 

Total amount spent on A commodities in the year 2019 = quantity $\times rate=15\times 80$ Total amount spent on D commodities in the year 2019 = $40\times 85$ 

The ratio of the total amount spent on A and D commodities in the year 2019 = $15\times 80:40\times 85=6:17$ 

Q. 74 The sum of the squares of 3 natural numbers is 1029, and they are in the proportion 1 : 2 : 4. The difference between greatest number and smallest number is: 

(A) 15 

(B) 21 

(C) 31 

(D) 18 

Answer: (B) 

Explanation: 

Let the smallest number be x. 

Numbers are x, 2x, 4x. 

The sum of the squares of 3 natural numbers = 1029 

$x^2+(2x{)}^2+(4x{)}^2=1029$ 

$x^2+4x^2+16x^2=1029$ 

$x^2=1029/21$ 

$x^2=49$ 

$x=7$ 

Smallest number = 7 

Greatest number = 4x = 4 $\times$ 7 = 28 

The difference between greatest number and smallest number = 28 – 7 = 21 

Q. 75 If A lies in third quadrant, and $20\tan A=21$, then the value of $\frac{5\sin A–2\cos A}{4\cos \left(A\right)–\frac{5}{7}\sin A}$ 

(A) $\frac{–65}{29}$ 

(B) $\frac{1}{5}$ 

(C) $\frac{5}{29}$ 

(D) $\frac{13}{12}$ 

Answer: (B) 

Explanation: 

$20\tan \left(A\right)=21$ 

$\tan \left(A\right)=21/20$ 

$\frac{5\sin \left(A\right)–2\cos A}{4\cos \left(A\right)–\frac{5}{7}\sin A}$ 

= $\frac{\cos A(5\frac{\sin A}{\cos A}–2)}{\cos A(4–\frac{5\sin A}{7\cos A})}$ 

= $\frac{5\tan \left(A\right)–2}{4–\frac{5}{7}\tan A}$ 

On put the value of tan A, 

= $\frac{5\times \frac{21}{20}–2}{4–\frac{5}{7}\times \frac{21}{20}}$ 

= $\frac{\frac{13}{20}}{\frac{13}{4}}$ = $$\frac{1}{5} 

English Comprehension 

Instructions 

For the following questions answer them individually 

Q. 76 Select the correct indirect narration of the given sentence. 

She said, “We visited Uttarakhand in the summer vacation.” 

(A) She said that they had visited Uttarakhand in the summer vacation. 

(B) She said that they will visit to Uttarakhand in the summer vacation 

(C) She said that we visited Uttarakhand in the summer vacation. 

(D) She said that they have visited Uttarakhand in the summer vacation 

Answer: (A) 

Q. 77 Given below are four jumbled sentences. Out of the given options pick the one that gives their correct order. A person who attracts attention with a flashy style 

(A) Glutton 

(B) Flamboyant 

(C) Vagabond 

(D) Jockey 

Answer: (B) 

Q. 78 Select the correctly spelt word. 

(A) Millionare 

(B) Temprature 

(C) Catalogue 

(D) Agression 

Answer: (C) 

Q. 79 Given below are four jumbled sentences. Out of the given options pick the one that gives their correct order. 

A. It provides training for the development of oral and aural skills and is a great supplement to classroom teaching. 

B. Technology is growing very fast day by day and is contributing a lot towards improving communication skills. 

C. Thus, it is the responsibility of a teacher to make the learners understand that their aim is to master the language, not the technology. 

D. However, it cannot be a substitute for the conventional method of language teaching. 

(A) DACB 

(B) BADC

(C) BCDA

(D) ACBD

Answer: (B) 

Q. 80 Select the most appropriate option to substitute the underlined segment in the given sentence. If no substitution is required, select No Improvement. 

If he doesn’t score forty percent in all the subjects, he would not be promoted to the next class. 

(A) was not being 

(B) No improvement 

(C) is not being 

(D) will not be 

Answer: (D) 

Q. 81 Select the most appropriate word to fill in the blank. 

The reckless young man was ______ for the debts incurred by him. 

(A) suspicious 

(B) reliable 

(C) liable 

(D) audacious 

Answer: (C) 

Instructions 

In the following passage some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each blank 

Comprehension: 

Environmental pollution is a global problem and (1)______ threat to human survival. The causes of pollution are quite (2)______, such as contamination of water, cutting of trees and forests, emission of toxic gases etc. Due to (3)______ factors, the flora and fauna are adversely affected. An awareness to protect the environment is everybody’s (4)______ duty and we should collectively come forward for this noble campaign. Government is taking strong (5)______ to check the menace of pollution. 

Q. 82 Select the most appropriate option for blank No.1 

(A) the 

(B) an 

(C) some 

(D) a 

Answer: (D) 

Q. 83 Select the most appropriate option for blank No.2 

(A) enough 

(B) many 

(C) numerous 

(D) plenty 

Answer: (C) 

Q. 84 Select the most appropriate option for blank No.3 

(A) this 

(B) those 

(C) that 

(D) these 

Answer: (D) 

Q. 85 Select the most appropriate option for blank No.4 

(A) moral 

(B) urgent 

(C) pious 

(D) dubious 

Answer: (A) 

Q. 86 Select the most appropriate option for blank No.5 

(A) programmes 

(B) measures 

(C) attempts 

(D) enticements 

Answer: (B) 

Explanation: 

The most appropriate word that fits the blank contextually and grammatically is ‘measures’. 

Instructions 

For the following questions answer them individually 

Q. 87 Given below are four jumbled sentences. Out of the given options pick the one that gives their correct order. A person who preaches religion and is considered to be a messenger of God. 

(A) Scholar 

(B) Volunteer 

(C) Atheist 

(D) Prophet 

Answer: (D) 

Explanation: 

A person who preaches religion and is considered to be a messenger of God is called Prophet. 

Q. 88 Select the most appropriate antonym of the given word. 

STRINGENT 

(A) Lenient 

(B) Severe 

(C) Stern 

(D) Strict 

Answer: (A) 

Q. 89 Select the correct passive form of the given sentence. 

Why do you spend so much money? 

(A) Why is so much money spent by you? 

(B) Why is so much money being spent by you? 

(C) Why was so much money spent by you? 

(D) Why has so much money been spent by you? 

Answer: (A) 

Q. 90 Select the most appropriate meaning of the given idiom. 

Like a dying duck in a thunderstorm 

(A) Dejected 

(B) Daring 

(C) Comfortable 

(D) Confident 

Answer: (A) 

Explanation: 

Like a dying duck in a thunderstorm means ‘having a dejected or hopeless expression; or, informal.’ 

Q. 91 In the sentence identify the segment which contains the grammatical error. 

She behaves in a such a cordial manner that everyone admires her 

(A) admires her 

(B) that everyone 

(C) She behaves in a 

(D) such a cordial manner 

Answer: (C) 

Explanation: 

The grammatically correct sentence of the given sentence is – ‘She behaves in such a cordial manner that everyone admires her.’ So, the error part is option c, i.e, “She behaves in a”, which must be replaced by ‘ she behaves in’. 

Q. 92 Select the most appropriate synonym of the given word. 

Repercussion 

(A) Recollection 

(B) Reaction 

(C) Rearrangement 

(D) Reminder 

Answer: (B) 

Q. 93 Select the correctly spelt word. 

(A) Itinarary 

(B) Sovereignty 

(C) Rennaissance 

(D) Greivance 

Answer: (B) 

Explanation: 

Sovereignty means supreme power or authority. 

Q. 94 Given below are four jumbled sentences. Out of the given options pick the one that gives their correct order. 

A. It was an honor as well as a relief to the family of the deceased. 

B. The district collector announced a gallantry award and financial aid for his family. 

C. A soldier died fighting in the battlefield. 

D. The money was promptly disbursed from the Prime Minister’s Relief Fund. 

(A) BACD 

(B) CDBA

(C) CBDA 

(D) BCAD 

Answer: (C) 

Q. 95 Select the most appropriate synonym of the given word. 

Juvenile 

(A) Wise 

(B) Childish 

(C) Insane 

(D) Mature 

Answer: (B) 

Q. 96 In the sentence identify the segment which contains the grammatical error. 

All employees of the National Sugar Factory differ from their boss on the medical and pension policy. 

(A) differ from their boss 

(B) All employees 

(C) on the medical and pension policy 

(D) of the National Sugar Factory 

Answer: (A) 

Q. 97 Select the most appropriate option to substitute the underlined segment in the given sentence. If no substitution is required, select No Improvement 

No soon the Chief Minister step in than the bomb exploded 

(A) No sooner does the Chief Minister 

(B) No Improvemen 

(C) No sooner did the Chief Minister 

(D) No soon had the Chief Minister 

Answer: (C) 

Q. 98 Select the most appropriate antonym of the given word. 

GROTESQUE 

(A) Distorted 

(B) Ugly 

(C) Attractive 

(D) Monstrous 

Answer: (C) 

Q. 99 Select the most appropriate meaning of the given idiom. 

To paddle one’s own canoe 

(A) Depend on oneself 

(B) To take rest 

(C) To exercise hard 

(D) To act in a childish way 

Answer: (A) 

Q. 100 Select the most appropriate word to fill in the blank. 

The unruly behaviour of the students ______ their teacher. 

(A) comforted 

(B) irritated 

(C) calmed 

(D) pleased 

Answer: (B)